Factoring Quadratics (a=1 and GCF)

Front

Factor k² - 2k - 24

Back

(k+4)(k-6)

Answer explanation

To factor k² - 2k - 24, we look for two numbers that multiply to -24 and add to -2. The numbers 4 and -6 fit this, so we can write it as (k+4)(k-6). Thus, the correct answer is (k+4)(k-6).

Front

Factor
x²+12x+35

Back

(x+5)(x+7)

Answer explanation

To factor x² + 12x + 35, we look for two numbers that multiply to 35 and add to 12. The numbers 5 and 7 fit this, so we can write the expression as (x+5)(x+7). Thus, the correct answer is (x+5)(x+7).

Front

Factor
x² - 9x + 20

Back

(x - 5)(x - 4)

Answer explanation

To factor x² - 9x + 20, we look for two numbers that multiply to 20 and add to -9. The numbers -5 and -4 fit this, so we can write the expression as (x - 5)(x - 4). Thus, the correct answer is (x - 5)(x - 4).

Front

Factor
d² - 10d + 25

Back

(d - 5) (d - 5)

Answer explanation

To factor d² - 10d + 25, recognize it as a perfect square trinomial: (d - 5)(d - 5) or (d - 5)². Thus, the correct choice is (d - 5)(d - 5).

Front

Factor: x² + 9x − 36

Back

(x + 12)(x − 3)

Answer explanation

To factor x² + 9x - 36, we look for two numbers that multiply to -36 and add to 9. The numbers 12 and -3 fit this, leading to the factors (x + 12)(x - 3). Thus, the correct answer is (x + 12)(x - 3).

Front

Factor:
x² + 5x - 24

Back

(x + 8)(x - 3)

Answer explanation

To factor x² + 5x - 24, we look for two numbers that multiply to -24 and add to 5. The numbers 8 and -3 fit this, leading to the factors (x + 8)(x - 3). Thus, the correct choice is (x + 8)(x - 3).

Front

Factor:
x² - 23x - 24

Back

(x - 24)(x + 1)

Answer explanation

To factor x² - 23x - 24, we look for two numbers that multiply to -24 and add to -23. The correct pair is -24 and +1. Thus, the factorization is (x - 24)(x + 1).

Front

Factor: x²-12x-13

Back

(x+1)(x-13)

Answer explanation

To factor x² - 12x - 13, we look for two numbers that multiply to -13 and add to -12. The numbers -13 and 1 work, leading to the factors (x + 1)(x - 13). Thus, the correct answer is (x + 1)(x - 13).

Front

x²+19x+78

Back

(x+13)(x+6)

Answer explanation

To factor x² + 19x + 78, we look for two numbers that multiply to 78 and add to 19. The numbers 13 and 6 fit this, leading to the factorization (x + 13)(x + 6). Thus, the correct answer is (x + 13)(x + 6).

Front

x²+8x-20

Back

(x+10)(x-2)

Answer explanation

To factor x² + 8x - 20, we look for two numbers that multiply to -20 and add to 8. The numbers 10 and -2 fit, leading to the factorization (x + 10)(x - 2), which is the correct choice.